| 1801 - 658 pages
...sensible AB * AT\ * error ; 2OD XDB= A1V, or DB = -— = -^~ aOD aOD nearly. That That is, the difference between the true and apparent level is equal to the...always proportional to the square of the distance. Now suppose, for example, we want to know the difference between the true and apparent level at the distance... | |
| Jacques Ozanam - 1803 - 660 pages
...of the arch of distance above the radius of the earth. Hence it will be found that this difference is equal to the square of the distance between the...always proportional to the square of the distance. From these principles is obtained the following table, which shews the height of the apparent above... | |
| John Ainslie - 1812 - 358 pages
...those tables are constructed, but shall merely give the following position, vix. That the difference between the true and apparent level is equal to the square of the distance between the two places or stations divided by the earth's diameter, and consequently is always proportional... | |
| James Mitchell - 1823 - 666 pages
...true and apparent level, at any distance, may be found by a well-known property of the circle, to be equal to the square of the distance between the places,...distance. Now the diameter of the earth being nearly 7958 miles, if we first take the distance = 1 mile, then the excess becomes 7,962 inches, or almost... | |
| John Claudius Loudon - 1825 - 1250 pages
...like, the difference between the true and the apparent level must be taken into the account, which is equal to the square of the distance between the...always proportional to the square of the distance ; or from calculation almost eight inches, for the height of the apparent above tile true level at... | |
| Alexander Jamieson - 1829 - 654 pages
...2A С : BD :: BD : CD, which therefore is = - — ,- — 2 AC 2AC nearly ; that is, the difference between the true and apparent level is equal to the...distance. Now the diameter of the earth being nearly 7958 miles, if we в с' first take В С = 1 mile, then the excess rr — — becomes .¿¡g of *í... | |
| Jacques Ozanam - 1840 - 850 pages
...of the arch of distance above the radius of the earth. Hence it will be found that this difference is equal to the square of the distance between the...always proportional to the square of the distance. From these principles is obtained the following table, which shews the height of the apparent above... | |
| Abraham Crocker - 1841 - 486 pages
...2AC : BD : : BD ; CD, which therefore is = BT)2 TIP 2 SAP' °r 2AC nearty' *hat 's> *^e difference between the true and apparent level is equal to the...always proportional to the square of the distance. 278 LAND-MEASURING. The diameter of the earth being nearly 7958 miles ; EC2 if we first take BC = 1... | |
| Basil Jackson - 1847 - 410 pages
...as equal to AB. Then, 2CH: AB::AB:HB; or =£' very nearly. By which it appears, that the difference between the true and apparent level is equal to the square of the distance between the stations, divided by the diameter of the globe. It is, therefore, always proportional to the square... | |
| George D. Burr - 1847 - 270 pages
...sensible error, and it becomes 2AC:BD::BD:CD, or - - = - very nearly. Hence the difference 2 AC 2 AC between the true and apparent level is equal to the square of the distance between the stations divided by the diameter of the earth, and, therefore, is always proportional to the square... | |
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